Make up a meaningful network example. In the notes, week 7 part III, on Network Analysis I have given you several different “flow models”. Your answer does not have to mimic one of these. Try to make it different than those presented in the notes.
a) Your example must be well defined. Define the problem clearly.
b) Your example should involve solving a system of equations with an “infinite number of solutions”. Actually, once you place restrictions on the variables (They may be integers and see part f.) the number of solution may be large but not an infinite number.
c) Solve your system of equations any way you wish, but describe your solutions clearly.
d) Explain your results with two or three examples. That is, compute the flow when the free variable are specific numbers.
e) Interpret your results. Do they make sense? Do negative values make sense?
f) Should there be a maximum capacity for each edge? If so, make up some reasonable maximum capacity for each edge.